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Minchanka [31]
4 years ago
13

HELP PLZ WORTH EXTRA POINTS

Mathematics
1 answer:
Rom4ik [11]4 years ago
8 0

Answer:

The answer to your question is 42°

Step-by-step explanation:

Data

m∠BOC = 6x - 6

m∠AOB = 5x + 8

m∠BOC = ?

Process

We know that the segments OA ⊥ OC so they are complementary angles.

1.- The sum of complementary angles equals 90°

                 m∠BOC + m∠AOB = 90°

2.- Substitution

                6x - 6 + 5x + 8 = 90°

3.- Solve for x

                6x + 5x = 90 + 6 - 8

4.- Simplify

                       11x = 88

5.- Result

                          x = 88/11

                          x = 8

6.- Calculate m∠BOC

             m∠BOC = 6(8) - 6

                            = 48 - 6

                            = 42°                  

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